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Finding the Fourth Proportional to 792.47, 1,188.91 and 463.69

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Solution

The fourth proportional to 792.47, 1,188.91 and 463.69 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.47 : 1,188.91 = 463.69 : x
  2. Step 2: Convert to fraction form
    792.47/1,188.91 = 463.69/x
  3. Step 3: Cross multiply
    792.47x = 1,188.91 × 463.69
  4. Step 4: Simplify right side
    792.47x = 551,283.29
  5. Step 5: Solve for x
    x = 551,283.29/792.47
  6. Step 6: Final answer
    x = 695.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.